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Cited by 89 publications
(76 citation statements)
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References 44 publications
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“…In the present paper, we propose a new theoretical model for the growth of human cerebral saccular aneurysms. The approach has a few similarities with a model previously proposed by Kroon and Holzapfel (2007a), but the present model has some important novelties. The model rests on the assumption that collagen is the only load-bearing constituent in the aneurysmal wall and that the continuous turnover of collagen is the driving mechanism for aneurysmal growth.…”
mentioning
confidence: 86%
See 1 more Smart Citation
“…In the present paper, we propose a new theoretical model for the growth of human cerebral saccular aneurysms. The approach has a few similarities with a model previously proposed by Kroon and Holzapfel (2007a), but the present model has some important novelties. The model rests on the assumption that collagen is the only load-bearing constituent in the aneurysmal wall and that the continuous turnover of collagen is the driving mechanism for aneurysmal growth.…”
mentioning
confidence: 86%
“…A saccular cerebral aneurysm is here modelled as an axisymmetric membrane, which is hinged along its periphery and exposed to a (blood) pressure p. The membrane formulation used here is based on a work by Fried (1982) (also utilised by Kroon and Holzapfel (2007a) and Kyriacou et al (1996)), and a brief review of the formulation is provided below.…”
Section: Fe Formulation For An Axisymmetric Membranementioning
confidence: 99%
“…Vessel wall remodeling during the development of an aneurysm was also disregarded in the study. Although in the present study the ratios of thickness and the elastic modulus of the layers were chosen to be the same in nonaneurismal and aneurismal vessels, it was suggested that the properties of the layers changed during vessel wall remodeling processes such as an increase in collagen fiber production [70,73]. Presence of ILT, calcification, material anisotropy, and regional variations of the material properties are the other parameters ignored in the study.…”
Section: Discussionmentioning
confidence: 99%
“…Taking the Euclidian norm of both sides of (3) and using (19), we find the tissue stretch in the direction of the fibers as…”
Section: Thick-walled Arterymentioning
confidence: 99%
“…Gleason et al [13] and Gleason and Humphrey [14] study arterial remodeling in response to altered mechanical loading, while Watton et al [15] and Watton and Hill [16] describe collagen remodeling with application to abdominal aneurysms. Baek et al [17,18], Kroon and Holzapfel [19], Watton et al [20], and Watton and Ventikos [21] model development of cerebral aneurysms. In all these studies, the G&R outcome depends on the G&R stimulus via evolution equations.…”
mentioning
confidence: 99%